In this paper, we propose Discrete Logarithm Problems (DLPs) over finite extension Fields. Consequently we propose Public Key Cryptosystems (PKCs), corresponding to these DLP As we know all the DLPs so designed are based on Galois Field of order p. More emphasis is given on algebraic aspect of the respective Galois Fields for DLPs defined therein.
2000 Mathematics Subject Classification Number: 94A60.
Keywords and Phrases: DLP, Finite Extension Field, PKCs, Galois Field, technology.
Cite this Article: Sunil Kumar Kashyap, Birendra Kumar Sharma, Amitabh Banerjee. Extended Cryptosystem. Journal of Multimedia Technology & Recent Advancements. 2020; 7(2): 9–12p.
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